/*
TASK: HNumbers
*/
#include <iostream>
#include <vector>
#include <cmath>
using namespace std;
int prime100000[] = {2,3,5,7,11,13,17,19,23,29 
,31,37,41,43,47,53,59,61,67,71 
,73,79,83,89,97,101,103,107,109,113 
,127,131,137,139,149,151,157,163,167,173 
,179,181,191,193,197,199,211,223,227,229 
,233,239,241,251,257,263,269,271,277,281 
,283,293,307,311,313,317,331,337,347,349 
,353,359,367,373,379,383,389,397,401,409 
,419,421,431,433,439,443,449,457,461,463 
,467,479,487,491,499,503,509,521,523,541 
,547,557,563,569,571,577,587,593,599,601 
,607,613,617,619,631,641,643,647,653,659 
,661,673,677,683,691,701,709,719,727,733 
,739,743,751,757,761,769,773,787,797,809 
,811,821,823,827,829,839,853,857,859,863 
,877,881,883,887,907,911,919,929,937,941 
,947,953,967,971,977,983,991,997,1009,1013 
,1019,1021,1031,1033,1039,1049,1051,1061,1063,1069 
,1087,1091,1093,1097,1103,1109,1117,1123,1129,1151 
,1153,1163,1171,1181,1187,1193,1201,1213,1217,1223 
,1229,1231,1237,1249,1259,1277,1279,1283,1289,1291 
,1297,1301,1303,1307,1319,1321,1327,1361,1367,1373 
,1381,1399,1409,1423,1427,1429,1433,1439,1447,1451 
,1453,1459,1471,1481,1483,1487,1489,1493,1499,1511 
,1523,1531,1543,1549,1553,1559,1567,1571,1579,1583 
,1597,1601,1607,1609,1613,1619,1621,1627,1637,1657 
,1663,1667,1669,1693,1697,1699,1709,1721,1723,1733 
,1741,1747,1753,1759,1777,1783,1787,1789,1801,1811 
,1823,1831,1847,1861,1867,1871,1873,1877,1879,1889 
,1901,1907,1913,1931,1933,1949,1951,1973,1979,1987 
,1993,1997,1999,2003,2011,2017,2027,2029,2039,2053 
,2063,2069,2081,2083,2087,2089,2099,2111,2113,2129 
,2131,2137,2141,2143,2153,2161,2179,2203,2207,2213 
,2221,2237,2239,2243,2251,2267,2269,2273,2281,2287 
,2293,2297,2309,2311,2333,2339,2341,2347,2351,2357 
,2371,2377,2381,2383,2389,2393,2399,2411,2417,2423 
,2437,2441,2447,2459,2467,2473,2477,2503,2521,2531 
,2539,2543,2549,2551,2557,2579,2591,2593,2609,2617 
,2621,2633,2647,2657,2659,2663,2671,2677,2683,2687 
,2689,2693,2699,2707,2711,2713,2719,2729,2731,2741 
,2749,2753,2767,2777,2789,2791,2797,2801,2803,2819 
,2833,2837,2843,2851,2857,2861,2879,2887,2897,2903 
,2909,2917,2927,2939,2953,2957,2963,2969,2971,2999 
,3001,3011,3019,3023,3037,3041,3049,3061,3067,3079 
,3083,3089,3109,3119,3121,3137,3163,3167,3169,3181 
,3187,3191,3203,3209,3217,3221,3229,3251,3253,3257 
,3259,3271,3299,3301,3307,3313,3319,3323,3329,3331 
,3343,3347,3359,3361,3371,3373,3389,3391,3407,3413 
,3433,3449,3457,3461,3463,3467,3469,3491,3499,3511 
,3517,3527,3529,3533,3539,3541,3547,3557,3559,3571 
,3581,3583,3593,3607,3613,3617,3623,3631,3637,3643 
,3659,3671,3673,3677,3691,3697,3701,3709,3719,3727 
,3733,3739,3761,3767,3769,3779,3793,3797,3803,3821 
,3823,3833,3847,3851,3853,3863,3877,3881,3889,3907 
,3911,3917,3919,3923,3929,3931,3943,3947,3967,3989 
,4001,4003,4007,4013,4019,4021,4027,4049,4051,4057 
,4073,4079,4091,4093,4099,4111,4127,4129,4133,4139 
,4153,4157,4159,4177,4201,4211,4217,4219,4229,4231 
,4241,4243,4253,4259,4261,4271,4273,4283,4289,4297 
,4327,4337,4339,4349,4357,4363,4373,4391,4397,4409 
,4421,4423,4441,4447,4451,4457,4463,4481,4483,4493 
,4507,4513,4517,4519,4523,4547,4549,4561,4567,4583 
,4591,4597,4603,4621,4637,4639,4643,4649,4651,4657 
,4663,4673,4679,4691,4703,4721,4723,4729,4733,4751 
,4759,4783,4787,4789,4793,4799,4801,4813,4817,4831 
,4861,4871,4877,4889,4903,4909,4919,4931,4933,4937 
,4943,4951,4957,4967,4969,4973,4987,4993,4999,5003 
,5009,5011,5021,5023,5039,5051,5059,5077,5081,5087 
,5099,5101,5107,5113,5119,5147,5153,5167,5171,5179 
,5189,5197,5209,5227,5231,5233,5237,5261,5273,5279 
,5281,5297,5303,5309,5323,5333,5347,5351,5381,5387 
,5393,5399,5407,5413,5417,5419,5431,5437,5441,5443 
,5449,5471,5477,5479,5483,5501,5503,5507,5519,5521 
,5527,5531,5557,5563,5569,5573,5581,5591,5623,5639 
,5641,5647,5651,5653,5657,5659,5669,5683,5689,5693 
,5701,5711,5717,5737,5741,5743,5749,5779,5783,5791 
,5801,5807,5813,5821,5827,5839,5843,5849,5851,5857 
,5861,5867,5869,5879,5881,5897,5903,5923,5927,5939 
,5953,5981,5987,6007,6011,6029,6037,6043,6047,6053 
,6067,6073,6079,6089,6091,6101,6113,6121,6131,6133 
,6143,6151,6163,6173,6197,6199,6203,6211,6217,6221 
,6229,6247,6257,6263,6269,6271,6277,6287,6299,6301 
,6311,6317,6323,6329,6337,6343,6353,6359,6361,6367 
,6373,6379,6389,6397,6421,6427,6449,6451,6469,6473 
,6481,6491,6521,6529,6547,6551,6553,6563,6569,6571 
,6577,6581,6599,6607,6619,6637,6653,6659,6661,6673 
,6679,6689,6691,6701,6703,6709,6719,6733,6737,6761 
,6763,6779,6781,6791,6793,6803,6823,6827,6829,6833 
,6841,6857,6863,6869,6871,6883,6899,6907,6911,6917 
,6947,6949,6959,6961,6967,6971,6977,6983,6991,6997 
,7001,7013,7019,7027,7039,7043,7057,7069,7079,7103 
,7109,7121,7127,7129,7151,7159,7177,7187,7193,7207 
,7211,7213,7219,7229,7237,7243,7247,7253,7283,7297 
,7307,7309,7321,7331,7333,7349,7351,7369,7393,7411 
,7417,7433,7451,7457,7459,7477,7481,7487,7489,7499 
,7507,7517,7523,7529,7537,7541,7547,7549,7559,7561 
,7573,7577,7583,7589,7591,7603,7607,7621,7639,7643 
,7649,7669,7673,7681,7687,7691,7699,7703,7717,7723 
,7727,7741,7753,7757,7759,7789,7793,7817,7823,7829 
,7841,7853,7867,7873,7877,7879,7883,7901,7907,7919 
,7927,7933,7937,7949,7951,7963,7993,8009,8011,8017 
,8039,8053,8059,8069,8081,8087,8089,8093,8101,8111 
,8117,8123,8147,8161,8167,8171,8179,8191,8209,8219 
,8221,8231,8233,8237,8243,8263,8269,8273,8287,8291 
,8293,8297,8311,8317,8329,8353,8363,8369,8377,8387 
,8389,8419,8423,8429,8431,8443,8447,8461,8467,8501 
,8513,8521,8527,8537,8539,8543,8563,8573,8581,8597 
,8599,8609,8623,8627,8629,8641,8647,8663,8669,8677 
,8681,8689,8693,8699,8707,8713,8719,8731,8737,8741 
,8747,8753,8761,8779,8783,8803,8807,8819,8821,8831 
,8837,8839,8849,8861,8863,8867,8887,8893,8923,8929 
,8933,8941,8951,8963,8969,8971,8999,9001,9007,9011 
,9013,9029,9041,9043,9049,9059,9067,9091,9103,9109 
,9127,9133,9137,9151,9157,9161,9173,9181,9187,9199 
,9203,9209,9221,9227,9239,9241,9257,9277,9281,9283 
,9293,9311,9319,9323,9337,9341,9343,9349,9371,9377 
,9391,9397,9403,9413,9419,9421,9431,9433,9437,9439 
,9461,9463,9467,9473,9479,9491,9497,9511,9521,9533 
,9539,9547,9551,9587,9601,9613,9619,9623,9629,9631 
,9643,9649,9661,9677,9679,9689,9697,9719,9721,9733 
,9739,9743,9749,9767,9769,9781,9787,9791,9803,9811 
,9817,9829,9833,9839,9851,9857,9859,9871,9883,9887 
,9901,9907,9923,9929,9931,9941,9949,9967,9973,10007 
,10009,10037,10039,10061,10067,10069,10079,10091,10093,10099 
,10103,10111,10133,10139,10141,10151,10159,10163,10169,10177 
,10181,10193,10211,10223,10243,10247,10253,10259,10267,10271 
,10273,10289,10301,10303,10313,10321,10331,10333,10337,10343 
,10357,10369,10391,10399,10427,10429,10433,10453,10457,10459 
,10463,10477,10487,10499,10501,10513,10529,10531,10559,10567 
,10589,10597,10601,10607,10613,10627,10631,10639,10651,10657 
,10663,10667,10687,10691,10709,10711,10723,10729,10733,10739 
,10753,10771,10781,10789,10799,10831,10837,10847,10853,10859 
,10861,10867,10883,10889,10891,10903,10909,10937,10939,10949 
,10957,10973,10979,10987,10993,11003,11027,11047,11057,11059 
,11069,11071,11083,11087,11093,11113,11117,11119,11131,11149 
,11159,11161,11171,11173,11177,11197,11213,11239,11243,11251 
,11257,11261,11273,11279,11287,11299,11311,11317,11321,11329 
,11351,11353,11369,11383,11393,11399,11411,11423,11437,11443 
,11447,11467,11471,11483,11489,11491,11497,11503,11519,11527 
,11549,11551,11579,11587,11593,11597,11617,11621,11633,11657 
,11677,11681,11689,11699,11701,11717,11719,11731,11743,11777 
,11779,11783,11789,11801,11807,11813,11821,11827,11831,11833 
,11839,11863,11867,11887,11897,11903,11909,11923,11927,11933 
,11939,11941,11953,11959,11969,11971,11981,11987,12007,12011 
,12037,12041,12043,12049,12071,12073,12097,12101,12107,12109 
,12113,12119,12143,12149,12157,12161,12163,12197,12203,12211 
,12227,12239,12241,12251,12253,12263,12269,12277,12281,12289 
,12301,12323,12329,12343,12347,12373,12377,12379,12391,12401 
,12409,12413,12421,12433,12437,12451,12457,12473,12479,12487 
,12491,12497,12503,12511,12517,12527,12539,12541,12547,12553 
,12569,12577,12583,12589,12601,12611,12613,12619,12637,12641 
,12647,12653,12659,12671,12689,12697,12703,12713,12721,12739 
,12743,12757,12763,12781,12791,12799,12809,12821,12823,12829 
,12841,12853,12889,12893,12899,12907,12911,12917,12919,12923 
,12941,12953,12959,12967,12973,12979,12983,13001,13003,13007 
,13009,13033,13037,13043,13049,13063,13093,13099,13103,13109 
,13121,13127,13147,13151,13159,13163,13171,13177,13183,13187 
,13217,13219,13229,13241,13249,13259,13267,13291,13297,13309 
,13313,13327,13331,13337,13339,13367,13381,13397,13399,13411 
,13417,13421,13441,13451,13457,13463,13469,13477,13487,13499 
,13513,13523,13537,13553,13567,13577,13591,13597,13613,13619 
,13627,13633,13649,13669,13679,13681,13687,13691,13693,13697 
,13709,13711,13721,13723,13729,13751,13757,13759,13763,13781 
,13789,13799,13807,13829,13831,13841,13859,13873,13877,13879 
,13883,13901,13903,13907,13913,13921,13931,13933,13963,13967 
,13997,13999,14009,14011,14029,14033,14051,14057,14071,14081 
,14083,14087,14107,14143,14149,14153,14159,14173,14177,14197 
,14207,14221,14243,14249,14251,14281,14293,14303,14321,14323 
,14327,14341,14347,14369,14387,14389,14401,14407,14411,14419 
,14423,14431,14437,14447,14449,14461,14479,14489,14503,14519 
,14533,14537,14543,14549,14551,14557,14561,14563,14591,14593 
,14621,14627,14629,14633,14639,14653,14657,14669,14683,14699 
,14713,14717,14723,14731,14737,14741,14747,14753,14759,14767 
,14771,14779,14783,14797,14813,14821,14827,14831,14843,14851 
,14867,14869,14879,14887,14891,14897,14923,14929,14939,14947 
,14951,14957,14969,14983,15013,15017,15031,15053,15061,15073 
,15077,15083,15091,15101,15107,15121,15131,15137,15139,15149 
,15161,15173,15187,15193,15199,15217,15227,15233,15241,15259 
,15263,15269,15271,15277,15287,15289,15299,15307,15313,15319 
,15329,15331,15349,15359,15361,15373,15377,15383,15391,15401 
,15413,15427,15439,15443,15451,15461,15467,15473,15493,15497 
,15511,15527,15541,15551,15559,15569,15581,15583,15601,15607 
,15619,15629,15641,15643,15647,15649,15661,15667,15671,15679 
,15683,15727,15731,15733,15737,15739,15749,15761,15767,15773 
,15787,15791,15797,15803,15809,15817,15823,15859,15877,15881 
,15887,15889,15901,15907,15913,15919,15923,15937,15959,15971 
,15973,15991,16001,16007,16033,16057,16061,16063,16067,16069 
,16073,16087,16091,16097,16103,16111,16127,16139,16141,16183 
,16187,16189,16193,16217,16223,16229,16231,16249,16253,16267 
,16273,16301,16319,16333,16339,16349,16361,16363,16369,16381 
,16411,16417,16421,16427,16433,16447,16451,16453,16477,16481 
,16487,16493,16519,16529,16547,16553,16561,16567,16573,16603 
,16607,16619,16631,16633,16649,16651,16657,16661,16673,16691 
,16693,16699,16703,16729,16741,16747,16759,16763,16787,16811 
,16823,16829,16831,16843,16871,16879,16883,16889,16901,16903 
,16921,16927,16931,16937,16943,16963,16979,16981,16987,16993 
,17011,17021,17027,17029,17033,17041,17047,17053,17077,17093 
,17099,17107,17117,17123,17137,17159,17167,17183,17189,17191 
,17203,17207,17209,17231,17239,17257,17291,17293,17299,17317 
,17321,17327,17333,17341,17351,17359,17377,17383,17387,17389 
,17393,17401,17417,17419,17431,17443,17449,17467,17471,17477 
,17483,17489,17491,17497,17509,17519,17539,17551,17569,17573 
,17579,17581,17597,17599,17609,17623,17627,17657,17659,17669 
,17681,17683,17707,17713,17729,17737,17747,17749,17761,17783 
,17789,17791,17807,17827,17837,17839,17851,17863,17881,17891 
,17903,17909,17911,17921,17923,17929,17939,17957,17959,17971 
,17977,17981,17987,17989,18013,18041,18043,18047,18049,18059 
,18061,18077,18089,18097,18119,18121,18127,18131,18133,18143 
,18149,18169,18181,18191,18199,18211,18217,18223,18229,18233 
,18251,18253,18257,18269,18287,18289,18301,18307,18311,18313 
,18329,18341,18353,18367,18371,18379,18397,18401,18413,18427 
,18433,18439,18443,18451,18457,18461,18481,18493,18503,18517 
,18521,18523,18539,18541,18553,18583,18587,18593,18617,18637 
,18661,18671,18679,18691,18701,18713,18719,18731,18743,18749 
,18757,18773,18787,18793,18797,18803,18839,18859,18869,18899 
,18911,18913,18917,18919,18947,18959,18973,18979,19001,19009 
,19013,19031,19037,19051,19069,19073,19079,19081,19087,19121 
,19139,19141,19157,19163,19181,19183,19207,19211,19213,19219 
,19231,19237,19249,19259,19267,19273,19289,19301,19309,19319 
,19333,19373,19379,19381,19387,19391,19403,19417,19421,19423 
,19427,19429,19433,19441,19447,19457,19463,19469,19471,19477 
,19483,19489,19501,19507,19531,19541,19543,19553,19559,19571 
,19577,19583,19597,19603,19609,19661,19681,19687,19697,19699 
,19709,19717,19727,19739,19751,19753,19759,19763,19777,19793 
,19801,19813,19819,19841,19843,19853,19861,19867,19889,19891 
,19913,19919,19927,19937,19949,19961,19963,19973,19979,19991 
,19993,19997,20011,20021,20023,20029,20047,20051,20063,20071 
,20089,20101,20107,20113,20117,20123,20129,20143,20147,20149 
,20161,20173,20177,20183,20201,20219,20231,20233,20249,20261 
,20269,20287,20297,20323,20327,20333,20341,20347,20353,20357 
,20359,20369,20389,20393,20399,20407,20411,20431,20441,20443 
,20477,20479,20483,20507,20509,20521,20533,20543,20549,20551 
,20563,20593,20599,20611,20627,20639,20641,20663,20681,20693 
,20707,20717,20719,20731,20743,20747,20749,20753,20759,20771 
,20773,20789,20807,20809,20849,20857,20873,20879,20887,20897 
,20899,20903,20921,20929,20939,20947,20959,20963,20981,20983 
,21001,21011,21013,21017,21019,21023,21031,21059,21061,21067 
,21089,21101,21107,21121,21139,21143,21149,21157,21163,21169 
,21179,21187,21191,21193,21211,21221,21227,21247,21269,21277 
,21283,21313,21317,21319,21323,21341,21347,21377,21379,21383 
,21391,21397,21401,21407,21419,21433,21467,21481,21487,21491 
,21493,21499,21503,21517,21521,21523,21529,21557,21559,21563 
,21569,21577,21587,21589,21599,21601,21611,21613,21617,21647 
,21649,21661,21673,21683,21701,21713,21727,21737,21739,21751 
,21757,21767,21773,21787,21799,21803,21817,21821,21839,21841 
,21851,21859,21863,21871,21881,21893,21911,21929,21937,21943 
,21961,21977,21991,21997,22003,22013,22027,22031,22037,22039 
,22051,22063,22067,22073,22079,22091,22093,22109,22111,22123 
,22129,22133,22147,22153,22157,22159,22171,22189,22193,22229 
,22247,22259,22271,22273,22277,22279,22283,22291,22303,22307 
,22343,22349,22367,22369,22381,22391,22397,22409,22433,22441 
,22447,22453,22469,22481,22483,22501,22511,22531,22541,22543 
,22549,22567,22571,22573,22613,22619,22621,22637,22639,22643 
,22651,22669,22679,22691,22697,22699,22709,22717,22721,22727 
,22739,22741,22751,22769,22777,22783,22787,22807,22811,22817 
,22853,22859,22861,22871,22877,22901,22907,22921,22937,22943 
,22961,22963,22973,22993,23003,23011,23017,23021,23027,23029 
,23039,23041,23053,23057,23059,23063,23071,23081,23087,23099 
,23117,23131,23143,23159,23167,23173,23189,23197,23201,23203 
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,77263,77267,77269,77279,77291,77317,77323,77339,77347,77351 
,77359,77369,77377,77383,77417,77419,77431,77447,77471,77477 
,77479,77489,77491,77509,77513,77521,77527,77543,77549,77551 
,77557,77563,77569,77573,77587,77591,77611,77617,77621,77641 
,77647,77659,77681,77687,77689,77699,77711,77713,77719,77723 
,77731,77743,77747,77761,77773,77783,77797,77801,77813,77839 
,77849,77863,77867,77893,77899,77929,77933,77951,77969,77977 
,77983,77999,78007,78017,78031,78041,78049,78059,78079,78101 
,78121,78137,78139,78157,78163,78167,78173,78179,78191,78193 
,78203,78229,78233,78241,78259,78277,78283,78301,78307,78311 
,78317,78341,78347,78367,78401,78427,78437,78439,78467,78479 
,78487,78497,78509,78511,78517,78539,78541,78553,78569,78571 
,78577,78583,78593,78607,78623,78643,78649,78653,78691,78697 
,78707,78713,78721,78737,78779,78781,78787,78791,78797,78803 
,78809,78823,78839,78853,78857,78877,78887,78889,78893,78901 
,78919,78929,78941,78977,78979,78989,79031,79039,79043,79063 
,79087,79103,79111,79133,79139,79147,79151,79153,79159,79181 
,79187,79193,79201,79229,79231,79241,79259,79273,79279,79283 
,79301,79309,79319,79333,79337,79349,79357,79367,79379,79393 
,79397,79399,79411,79423,79427,79433,79451,79481,79493,79531 
,79537,79549,79559,79561,79579,79589,79601,79609,79613,79621 
,79627,79631,79633,79657,79669,79687,79691,79693,79697,79699 
,79757,79769,79777,79801,79811,79813,79817,79823,79829,79841 
,79843,79847,79861,79867,79873,79889,79901,79903,79907,79939 
,79943,79967,79973,79979,79987,79997,79999,80021,80039,80051 
,80071,80077,80107,80111,80141,80147,80149,80153,80167,80173 
,80177,80191,80207,80209,80221,80231,80233,80239,80251,80263 
,80273,80279,80287,80309,80317,80329,80341,80347,80363,80369 
,80387,80407,80429,80447,80449,80471,80473,80489,80491,80513 
,80527,80537,80557,80567,80599,80603,80611,80621,80627,80629 
,80651,80657,80669,80671,80677,80681,80683,80687,80701,80713 
,80737,80747,80749,80761,80777,80779,80783,80789,80803,80809 
,80819,80831,80833,80849,80863,80897,80909,80911,80917,80923 
,80929,80933,80953,80963,80989,81001,81013,81017,81019,81023 
,81031,81041,81043,81047,81049,81071,81077,81083,81097,81101 
,81119,81131,81157,81163,81173,81181,81197,81199,81203,81223 
,81233,81239,81281,81283,81293,81299,81307,81331,81343,81349 
,81353,81359,81371,81373,81401,81409,81421,81439,81457,81463 
,81509,81517,81527,81533,81547,81551,81553,81559,81563,81569 
,81611,81619,81629,81637,81647,81649,81667,81671,81677,81689 
,81701,81703,81707,81727,81737,81749,81761,81769,81773,81799 
,81817,81839,81847,81853,81869,81883,81899,81901,81919,81929 
,81931,81937,81943,81953,81967,81971,81973,82003,82007,82009 
,82013,82021,82031,82037,82039,82051,82067,82073,82129,82139 
,82141,82153,82163,82171,82183,82189,82193,82207,82217,82219 
,82223,82231,82237,82241,82261,82267,82279,82301,82307,82339 
,82349,82351,82361,82373,82387,82393,82421,82457,82463,82469 
,82471,82483,82487,82493,82499,82507,82529,82531,82549,82559 
,82561,82567,82571,82591,82601,82609,82613,82619,82633,82651 
,82657,82699,82721,82723,82727,82729,82757,82759,82763,82781 
,82787,82793,82799,82811,82813,82837,82847,82883,82889,82891 
,82903,82913,82939,82963,82981,82997,83003,83009,83023,83047 
,83059,83063,83071,83077,83089,83093,83101,83117,83137,83177 
,83203,83207,83219,83221,83227,83231,83233,83243,83257,83267 
,83269,83273,83299,83311,83339,83341,83357,83383,83389,83399 
,83401,83407,83417,83423,83431,83437,83443,83449,83459,83471 
,83477,83497,83537,83557,83561,83563,83579,83591,83597,83609 
,83617,83621,83639,83641,83653,83663,83689,83701,83717,83719 
,83737,83761,83773,83777,83791,83813,83833,83843,83857,83869 
,83873,83891,83903,83911,83921,83933,83939,83969,83983,83987 
,84011,84017,84047,84053,84059,84061,84067,84089,84121,84127 
,84131,84137,84143,84163,84179,84181,84191,84199,84211,84221 
,84223,84229,84239,84247,84263,84299,84307,84313,84317,84319 
,84347,84349,84377,84389,84391,84401,84407,84421,84431,84437 
,84443,84449,84457,84463,84467,84481,84499,84503,84509,84521 
,84523,84533,84551,84559,84589,84629,84631,84649,84653,84659 
,84673,84691,84697,84701,84713,84719,84731,84737,84751,84761 
,84787,84793,84809,84811,84827,84857,84859,84869,84871,84913 
,84919,84947,84961,84967,84977,84979,84991,85009,85021,85027 
,85037,85049,85061,85081,85087,85091,85093,85103,85109,85121 
,85133,85147,85159,85193,85199,85201,85213,85223,85229,85237 
,85243,85247,85259,85297,85303,85313,85331,85333,85361,85363 
,85369,85381,85411,85427,85429,85439,85447,85451,85453,85469 
,85487,85513,85517,85523,85531,85549,85571,85577,85597,85601 
,85607,85619,85621,85627,85639,85643,85661,85667,85669,85691 
,85703,85711,85717,85733,85751,85781,85793,85817,85819,85829 
,85831,85837,85843,85847,85853,85889,85903,85909,85931,85933 
,85991,85999,86011,86017,86027,86029,86069,86077,86083,86111 
,86113,86117,86131,86137,86143,86161,86171,86179,86183,86197 
,86201,86209,86239,86243,86249,86257,86263,86269,86287,86291 
,86293,86297,86311,86323,86341,86351,86353,86357,86369,86371 
,86381,86389,86399,86413,86423,86441,86453,86461,86467,86477 
,86491,86501,86509,86531,86533,86539,86561,86573,86579,86587 
,86599,86627,86629,86677,86689,86693,86711,86719,86729,86743 
,86753,86767,86771,86783,86813,86837,86843,86851,86857,86861 
,86869,86923,86927,86929,86939,86951,86959,86969,86981,86993 
,87011,87013,87037,87041,87049,87071,87083,87103,87107,87119 
,87121,87133,87149,87151,87179,87181,87187,87211,87221,87223 
,87251,87253,87257,87277,87281,87293,87299,87313,87317,87323 
,87337,87359,87383,87403,87407,87421,87427,87433,87443,87473 
,87481,87491,87509,87511,87517,87523,87539,87541,87547,87553 
,87557,87559,87583,87587,87589,87613,87623,87629,87631,87641 
,87643,87649,87671,87679,87683,87691,87697,87701,87719,87721 
,87739,87743,87751,87767,87793,87797,87803,87811,87833,87853 
,87869,87877,87881,87887,87911,87917,87931,87943,87959,87961 
,87973,87977,87991,88001,88003,88007,88019,88037,88069,88079 
,88093,88117,88129,88169,88177,88211,88223,88237,88241,88259 
,88261,88289,88301,88321,88327,88337,88339,88379,88397,88411 
,88423,88427,88463,88469,88471,88493,88499,88513,88523,88547 
,88589,88591,88607,88609,88643,88651,88657,88661,88663,88667 
,88681,88721,88729,88741,88747,88771,88789,88793,88799,88801 
,88807,88811,88813,88817,88819,88843,88853,88861,88867,88873 
,88883,88897,88903,88919,88937,88951,88969,88993,88997,89003 
,89009,89017,89021,89041,89051,89057,89069,89071,89083,89087 
,89101,89107,89113,89119,89123,89137,89153,89189,89203,89209 
,89213,89227,89231,89237,89261,89269,89273,89293,89303,89317 
,89329,89363,89371,89381,89387,89393,89399,89413,89417,89431 
,89443,89449,89459,89477,89491,89501,89513,89519,89521,89527 
,89533,89561,89563,89567,89591,89597,89599,89603,89611,89627 
,89633,89653,89657,89659,89669,89671,89681,89689,89753,89759 
,89767,89779,89783,89797,89809,89819,89821,89833,89839,89849 
,89867,89891,89897,89899,89909,89917,89923,89939,89959,89963 
,89977,89983,89989,90001,90007,90011,90017,90019,90023,90031 
,90053,90059,90067,90071,90073,90089,90107,90121,90127,90149 
,90163,90173,90187,90191,90197,90199,90203,90217,90227,90239 
,90247,90263,90271,90281,90289,90313,90353,90359,90371,90373 
,90379,90397,90401,90403,90407,90437,90439,90469,90473,90481 
,90499,90511,90523,90527,90529,90533,90547,90583,90599,90617 
,90619,90631,90641,90647,90659,90677,90679,90697,90703,90709 
,90731,90749,90787,90793,90803,90821,90823,90833,90841,90847 
,90863,90887,90901,90907,90911,90917,90931,90947,90971,90977 
,90989,90997,91009,91019,91033,91079,91081,91097,91099,91121 
,91127,91129,91139,91141,91151,91153,91159,91163,91183,91193 
,91199,91229,91237,91243,91249,91253,91283,91291,91297,91303 
,91309,91331,91367,91369,91373,91381,91387,91393,91397,91411 
,91423,91433,91453,91457,91459,91463,91493,91499,91513,91529 
,91541,91571,91573,91577,91583,91591,91621,91631,91639,91673 
,91691,91703,91711,91733,91753,91757,91771,91781,91801,91807 
,91811,91813,91823,91837,91841,91867,91873,91909,91921,91939 
,91943,91951,91957,91961,91967,91969,91997,92003,92009,92033 
,92041,92051,92077,92083,92107,92111,92119,92143,92153,92173 
,92177,92179,92189,92203,92219,92221,92227,92233,92237,92243 
,92251,92269,92297,92311,92317,92333,92347,92353,92357,92363 
,92369,92377,92381,92383,92387,92399,92401,92413,92419,92431 
,92459,92461,92467,92479,92489,92503,92507,92551,92557,92567 
,92569,92581,92593,92623,92627,92639,92641,92647,92657,92669 
,92671,92681,92683,92693,92699,92707,92717,92723,92737,92753 
,92761,92767,92779,92789,92791,92801,92809,92821,92831,92849 
,92857,92861,92863,92867,92893,92899,92921,92927,92941,92951 
,92957,92959,92987,92993,93001,93047,93053,93059,93077,93083 
,93089,93097,93103,93113,93131,93133,93139,93151,93169,93179 
,93187,93199,93229,93239,93241,93251,93253,93257,93263,93281 
,93283,93287,93307,93319,93323,93329,93337,93371,93377,93383 
,93407,93419,93427,93463,93479,93481,93487,93491,93493,93497 
,93503,93523,93529,93553,93557,93559,93563,93581,93601,93607 
,93629,93637,93683,93701,93703,93719,93739,93761,93763,93787 
,93809,93811,93827,93851,93871,93887,93889,93893,93901,93911 
,93913,93923,93937,93941,93949,93967,93971,93979,93983,93997 
,94007,94009,94033,94049,94057,94063,94079,94099,94109,94111 
,94117,94121,94151,94153,94169,94201,94207,94219,94229,94253 
,94261,94273,94291,94307,94309,94321,94327,94331,94343,94349 
,94351,94379,94397,94399,94421,94427,94433,94439,94441,94447 
,94463,94477,94483,94513,94529,94531,94541,94543,94547,94559 
,94561,94573,94583,94597,94603,94613,94621,94649,94651,94687 
,94693,94709,94723,94727,94747,94771,94777,94781,94789,94793 
,94811,94819,94823,94837,94841,94847,94849,94873,94889,94903 
,94907,94933,94949,94951,94961,94993,94999,95003,95009,95021 
,95027,95063,95071,95083,95087,95089,95093,95101,95107,95111 
,95131,95143,95153,95177,95189,95191,95203,95213,95219,95231 
,95233,95239,95257,95261,95267,95273,95279,95287,95311,95317 
,95327,95339,95369,95383,95393,95401,95413,95419,95429,95441 
,95443,95461,95467,95471,95479,95483,95507,95527,95531,95539 
,95549,95561,95569,95581,95597,95603,95617,95621,95629,95633 
,95651,95701,95707,95713,95717,95723,95731,95737,95747,95773 
,95783,95789,95791,95801,95803,95813,95819,95857,95869,95873 
,95881,95891,95911,95917,95923,95929,95947,95957,95959,95971 
,95987,95989,96001,96013,96017,96043,96053,96059,96079,96097 
,96137,96149,96157,96167,96179,96181,96199,96211,96221,96223 
,96233,96259,96263,96269,96281,96289,96293,96323,96329,96331 
,96337,96353,96377,96401,96419,96431,96443,96451,96457,96461 
,96469,96479,96487,96493,96497,96517,96527,96553,96557,96581 
,96587,96589,96601,96643,96661,96667,96671,96697,96703,96731 
,96737,96739,96749,96757,96763,96769,96779,96787,96797,96799 
,96821,96823,96827,96847,96851,96857,96893,96907,96911,96931 
,96953,96959,96973,96979,96989,96997,97001,97003,97007,97021 
,97039,97073,97081,97103,97117,97127,97151,97157,97159,97169 
,97171,97177,97187,97213,97231,97241,97259,97283,97301,97303 
,97327,97367,97369,97373,97379,97381,97387,97397,97423,97429 
,97441,97453,97459,97463,97499,97501,97511,97523,97547,97549 
,97553,97561,97571,97577,97579,97583,97607,97609,97613,97649 
,97651,97673,97687,97711,97729,97771,97777,97787,97789,97813 
,97829,97841,97843,97847,97849,97859,97861,97871,97879,97883 
,97919,97927,97931,97943,97961,97967,97973,97987,98009,98011 
,98017,98041,98047,98057,98081,98101,98123,98129,98143,98179 
,98207,98213,98221,98227,98251,98257,98269,98297,98299,98317 
,98321,98323,98327,98347,98369,98377,98387,98389,98407,98411 
,98419,98429,98443,98453,98459,98467,98473,98479,98491,98507 
,98519,98533,98543,98561,98563,98573,98597,98621,98627,98639 
,98641,98663,98669,98689,98711,98713,98717,98729,98731,98737 
,98773,98779,98801,98807,98809,98837,98849,98867,98869,98873 
,98887,98893,98897,98899,98909,98911,98927,98929,98939,98947 
,98953,98963,98981,98993,98999,99013,99017,99023,99041,99053 
,99079,99083,99089,99103,99109,99119,99131,99133,99137,99139 
,99149,99173,99181,99191,99223,99233,99241,99251,99257,99259 
,99277,99289,99317,99347,99349,99367,99371,99377,99391,99397 
,99401,99409,99431,99439,99469,99487,99497,99523,99527,99529 
,99551,99559,99563,99571,99577,99581,99607,99611,99623,99643 
,99661,99667,99679,99689,99707,99709,99713,99719,99721,99733 
,99761,99767,99787,99793,99809,99817,99823,99829,99833,99839 
,99859,99871,99877,99881,99901,99907,99923,99929,99961,99971 
,99989,99991};

bool isPrime(int n)
{
    bool ret=true;
    int sq=sqrt(float(n));
    for(int i=0;prime100000[i]<=sq;i++)
    {
        if ((n%prime100000[i])==0) {
            ret=false;
            break;
        }
    }
    return ret;
}

int getHNumber(int n, int m)
{
    //printf("Get HNumber of %d, which is less than %d\n", n, m);
    if (isPrime(n)) {
        return m;
    }
    else
    {
        vector<int> divisors;
        int lastDivisor = 1;
        for(int i=0;prime100000[i]<=n/lastDivisor;i++)
        {
            if ((n%prime100000[i])==0) {
                divisors.push_back(prime100000[i]);
                lastDivisor=prime100000[i];
            }
        }
        /*int ret=m;
        for(int i=0;i<divisors.size();i++)
        {
            printf("divisors[%d]=%d,ret=%d,m=%d\n",i,divisors[i],ret,m);
            ret-=m/divisors[i];
            printf("divisors[%d]=%d,ret=%d,m=%d\n",i,divisors[i],ret,m);
        }
        return ret;*/
        vector<int> out(m, 0);
        for(int i=0;i<m;i++)
        {
            out[i]=i+1;
        }
        for(int i=0;i<divisors.size();i++)
        {
            int t=1;
            while(divisors[i]*t<=m)
            {
                out[divisors[i]*t-1]=0;
                t++;
            }
        }
        int ret=0;
        for(int i=0;i<m;i++)
        {
            if (out[i]) {
                ret++;
            };
        }
        return ret;
    }
}

int main()
{
    int tN,i,m,n;
    scanf("%d", &tN);
    vector<int> inputs;
    for(i=0;i<tN;i++)
    {
        scanf("%d %d",&n, &m);
        inputs.push_back(n);
        inputs.push_back(m);
    }
    for(i=0;i<tN;i++)
    {
        cout<<getHNumber(inputs[2*i], inputs[2*i+1])<<endl;
    }
    return 0;
}
